QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR

SUN Chang-Pu

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(3) : 351-357

QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR

SUN Chang-Pu ^,

Northeast Normal University,Changchun

Abstract
HTML
Reference
Related

PDF

Abstract：
By using group representation theory,the quasi-adiabatic approximation solution of the schrodinger equation of a quantum system with slowly-changing Hamiltonian are presented in this paper.We not only obtained the Berry phase factor and strictly proved the quantum adiabatic theorem as the zeroth-order approximation,but also studied the universal Berry phase factor and its geometrical interpretation when the adiabatic condition is violated.It is pointed out that this universal Berry phase factor has observable effects.

References

[1]

Berry M. V. Proc. R. Soc. Lond, A 392(1984), 4 ; Simon B. Phys Rev. Lett., 54(1983), 2167.[2] Aharnnov Y and Bohm D Phys. Rev., 115(1959), 485.[3] Aharonov Y and Sussikind L Phys. Rev., 159(1957), 1237.[4] Delacretaz G et a1 Phys. Rev. Lett., 56(1986), 2598.[5] Chiao R Y and Wu Y S Phys. Rev. Lett., 57(1986), 933 Tomito A and Chiao R Y Phys. Rev. Lett., 57(1986), 937.[6] Nelson P and Alvarez-Gaume L Comm. Math. Phys., 99(1985), 103; Sonoda H Xucl. Bhyr, B266(1986),173; Niemi A J, Semenoff G W and Wu Y S Nucl. Phys., B266(1986), 410.[7] Semenoff G W and Sodano P Phys. Rev. Lett., 57(1986), 1159.Mead C A and Truhlar D G J. Chem. Phys., 70(1979), 2284.[8] Berry M V J. Phys. A: Mazh. Gen, 18(1985), 15; Hannay J H J. Phys. A: Mmh. Gen., 18(1985), 221;Gozzi E and Thacker W D 1987 MPI peprint MIP-PAE/PTH 67/86 .[9] Messiah A Quanzum Mechanics, Vol 2(1962), (North Holland: Amsterdam).

[1]	YANG Mao-Zhi , YANG Ya-Dong . Two-Body B Decays to Pseudoscalar and Vector Mesons in QCD Factorization Approach. Chinese Physics C, 2002, 26(S1): 34-40.
[2]	ZHANG ZhongCan , FANG ZhenYun , HU ChenGuO , SUN ShiJun . Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[3]	Zhang Zhongcan , Fang Zhenyun , Hu Chenguo , Sun Shijun . The Extention of Berry's Theory on Geometric Phase. Chinese Physics C, 1999, 23(10): 980-991.
[4]	Shen Yuelin , Ni Guangjiong . Berry's Connection and Wu-Yang's Monopole Potential. Chinese Physics C, 1995, 19(6): 500-507.
[5]	Meng Jie , Zeng Jinyan , Zhao Enguang . Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[6]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[7]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[8]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[9]	Sun Changpu , Zhang Linzhi . Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics. Chinese Physics C, 1990, 14(S1): 71-81.
[10]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[11]	SUN Chang-Pu . HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE. Chinese Physics C, 1990, 14(7): 604-613.
[12]	SUN Chang-Pu , ZHANG Lin-Zhi . BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS. Chinese Physics C, 1990, 14(2): 136-144.
[13]	GAO Xiao-Chun , XU Jing-Bo , QIAN Tie-Zheng , CHEN Cheng-Ming . THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE. Chinese Physics C, 1990, 14(8): 704-710.
[14]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[15]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[16]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.
[17]	MIAO Rong-Zhi , WANG Zheng-Da . THE EFFECT OF DEFORMATION AT SCISSION POINT FOR THE CALCULATION OF EXCITATION ENERGY OF FRAGMENTS IN FUSION-FISSION AND QUASI-FISSION INDUCED BY HEAVY-IONS. Chinese Physics C, 1985, 9(6): 751-757.
[18]	Qiu Xi-jun , Song Hong-qiu , Huang Wei-zhi , Wang Zi-xing . A MODEL OF FISSION. Chinese Physics C, 1980, 4(5): 680-682.
[19]	Wang Zheng-da , Xu Shu-wei , Miao Rong-zhi . A SIMPLE MODEL FOR STUDYING THE STRETCH AT SCISSION POINT IN FUSION-FISSION AND QUASIFISSION INDUCED BY HEAVY-IONS. Chinese Physics C, 1980, 4(6): 788-794.
[20]	Yang Ze-sen . THE ADIABATIC-BORN APPROXIMATION OF THE OPTICAL MODEL FOR DEFORMED NUCLEI. Chinese Physics C, 1980, 4(6): 778-783.

Access

Get Citation

SUN Chang-Pu. QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR[J]. Chinese Physics C, 1988, 12(3): 351-357.

SUN Chang-Pu. QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR[J]. Chinese Physics C, 1988, 12(3): 351-357. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2329)
PDF Downloads(431)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR

SUN Chang-Pu ^,

Corresponding author: SUN Chang-Pu,

Northeast Normal University,Changchun

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-06-05

Abstract: By using group representation theory,the quasi-adiabatic approximation solution of the schrodinger equation of a quantum system with slowly-changing Hamiltonian are presented in this paper.We not only obtained the Berry phase factor and strictly proved the quantum adiabatic theorem as the zeroth-order approximation,but also studied the universal Berry phase factor and its geometrical interpretation when the adiabatic condition is violated.It is pointed out that this universal Berry phase factor has observable effects.